Dissipativity Based Stability of Switched Systems with State-dependent Switchings
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Stability problem of switched systems with state-dependent switchings is addressed. Sufficient conditions for stability are presented using dissipativity property of subsystems on their active regions. In these conditions, each storage function of a subsystem is allowed to grow on the "switched on" time sequence but the total growth is bounded in certain ways. Asymptotic stability is achieved under further assumptions of a detectability property of a local form and boundedness of the total...[Show more]
dc.contributor.author | Zhao, Jun | |
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dc.contributor.author | Hill, David | |
dc.coverage.spatial | New Orleans USA | |
dc.date.accessioned | 2015-12-07T22:48:12Z | |
dc.date.created | December 12-14 2007 | |
dc.identifier.isbn | 1424414989 | |
dc.identifier.uri | http://hdl.handle.net/1885/26388 | |
dc.description.abstract | Stability problem of switched systems with state-dependent switchings is addressed. Sufficient conditions for stability are presented using dissipativity property of subsystems on their active regions. In these conditions, each storage function of a subsystem is allowed to grow on the "switched on" time sequence but the total growth is bounded in certain ways. Asymptotic stability is achieved under further assumptions of a detectability property of a local form and boundedness of the total change of some storage function on its inactive intervals. A necessary and sufficient condition for all subsystems to be dissipative on their active regions is given and a state-dependent switching law is designed. As a particular case, localized Kalman-Yakubovich-Popov conditions are derived for passivity. A condition for piecewise dissipativity property and a design method of switching laws are also proposed. | |
dc.publisher | Institute of Electrical and Electronics Engineers (IEEE Inc) | |
dc.relation.ispartofseries | IEEE Conference on Decision and Control 2007 | |
dc.source | Proceedings of the 46th IEEE Conference on Decision and Control 2007 | |
dc.subject | Keywords: Asymptotic stability; Energy dissipation; Problem solving; Switching; System stability; Dissipativity property; Kalman-Yakubovich-Popov conditions; State-dependent switchings; Storage functions; Switching systems | |
dc.title | Dissipativity Based Stability of Switched Systems with State-dependent Switchings | |
dc.type | Conference paper | |
local.description.notes | Imported from ARIES | |
local.description.refereed | Yes | |
dc.date.issued | 2007 | |
local.identifier.absfor | 010203 - Calculus of Variations, Systems Theory and Control Theory | |
local.identifier.ariespublication | u4334215xPUB44 | |
local.type.status | Published Version | |
local.contributor.affiliation | Zhao, Jun, College of Engineering and Computer Science, ANU | |
local.contributor.affiliation | Hill, David, College of Engineering and Computer Science, ANU | |
local.description.embargo | 2037-12-31 | |
local.bibliographicCitation.startpage | 4027 | |
local.bibliographicCitation.lastpage | 4032 | |
local.identifier.doi | 10.1109/CDC.2007.4434043 | |
dc.date.updated | 2016-02-24T11:00:43Z | |
local.identifier.scopusID | 2-s2.0-62749205041 | |
Collections | ANU Research Publications |
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